kilobytes = 159.920239818857 q = 3 m = 7 n = 2144 s = 0 t = 36 u = 72 k = 1640 w = 54 ciphertext = [0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol504 = [2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol505 = [0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol506 = [1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol507 = [0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol508 = [2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1] pubkeycol509 = [2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol510 = [2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol511 = [2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0] pubkeycol512 = [0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol513 = [1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol514 = [2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol515 = [0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol516 = [1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0] pubkeycol517 = [2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1] pubkeycol518 = [1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1] pubkeycol519 = [1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol520 = [0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol521 = [0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol522 = [1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol523 = [0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0] pubkeycol524 = [0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol525 = [1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol526 = [2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol527 = [0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol528 = [1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2] pubkeycol529 = [0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol530 = [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol531 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol532 = [0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol533 = [0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1] pubkeycol534 = [2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol535 = [2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol536 = [0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0] pubkeycol537 = [1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol538 = [0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol539 = [1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol540 = [0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol541 = [2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol542 = [1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol543 = [2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol544 = [0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol545 = [1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol546 = [2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol547 = [2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2] pubkeycol548 = [1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1] pubkeycol549 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol550 = [0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol551 = [0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1] pubkeycol552 = [1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol553 = [0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol554 = [2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol555 = [1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol556 = [0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol557 = [2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2] pubkeycol558 = [2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol559 = [1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2] pubkeycol560 = [1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol561 = [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1] pubkeycol562 = [0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol563 = [0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol564 = [2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol565 = [0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol566 = [1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0] pubkeycol567 = [0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol568 = [2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol569 = [0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol570 = [2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol571 = [2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol572 = [1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol573 = [0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol574 = [0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol575 = [2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol576 = [1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0] pubkeycol577 = [2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol578 = [1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol579 = [1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol580 = [1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol581 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2] pubkeycol582 = [0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol583 = [0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol584 = [0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol585 = [1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1] pubkeycol586 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol587 = [2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol588 = [2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol589 = [2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2] pubkeycol590 = [0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol591 = [2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol592 = [1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol593 = [0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol594 = [1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol595 = [2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1] pubkeycol596 = [0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol597 = [1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol598 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol599 = [0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol600 = [1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol601 = [0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2] pubkeycol602 = [2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1] pubkeycol603 = [1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol604 = [2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol605 = [1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol606 = [1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2] pubkeycol607 = [1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol608 = [1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol609 = [1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol610 = [2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1] pubkeycol611 = [2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol612 = [0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0] pubkeycol613 = [2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0] pubkeycol614 = [1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0] pubkeycol615 = [2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol616 = [0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol617 = [1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol618 = [1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol619 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol620 = [2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol621 = [1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol622 = [1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol623 = [1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol624 = [1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol625 = [2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol626 = [2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol627 = [1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol628 = [2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol629 = [1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol630 = [1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol631 = [1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol632 = [0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol633 = [0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0] pubkeycol634 = [0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol635 = [0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol636 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2] pubkeycol637 = [0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2] pubkeycol638 = [1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol639 = [1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol640 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol641 = [0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol642 = [0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol643 = [2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol644 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol645 = [1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol646 = [0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol647 = [0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol648 = [1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol649 = [2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol650 = [0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol651 = [1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol652 = [2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol653 = [2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol654 = [0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol655 = [0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1] pubkeycol656 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1] pubkeycol657 = [0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2] pubkeycol658 = [2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol659 = [1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0] pubkeycol660 = [2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol661 = [2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol662 = [0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2] pubkeycol663 = [2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol664 = [2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol665 = [2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol666 = [2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol667 = [1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol668 = [1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol669 = [2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2] pubkeycol670 = [0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol671 = [1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol672 = [2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1] pubkeycol673 = [0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol674 = [1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol675 = [0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol676 = [1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol677 = [1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol678 = [1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol679 = [0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol680 = [0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol681 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol682 = [0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol683 = [2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol684 = [0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol685 = [0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol686 = [2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol687 = [1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2] pubkeycol688 = [1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol689 = [0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0] pubkeycol690 = [0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol691 = [0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol692 = [1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol693 = [1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol694 = [0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol695 = [2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol696 = [0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2] pubkeycol697 = [0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol698 = [0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol699 = [1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol700 = [1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol701 = [0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol702 = [0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol703 = [1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol704 = [1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol705 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol706 = [1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2] pubkeycol707 = [1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol708 = [1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol709 = [2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol710 = [1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol711 = [0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol712 = [2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol713 = [1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol714 = [1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol715 = [1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol716 = [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol717 = [0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol718 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2] pubkeycol719 = [1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol720 = [1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol721 = [2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2] pubkeycol722 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol723 = [2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0] pubkeycol724 = [0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol725 = [2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol726 = [2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2] pubkeycol727 = [1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol728 = [2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol729 = [0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol730 = [2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol731 = [1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol732 = [0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2] pubkeycol733 = [0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol734 = [2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol735 = [1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol736 = [2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol737 = [2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2] pubkeycol738 = [2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2] pubkeycol739 = [1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol740 = [0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol741 = [2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol742 = [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol743 = [0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0] pubkeycol744 = [1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol745 = [1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol746 = [0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol747 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol748 = [1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol749 = [0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol750 = [0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1] pubkeycol751 = [0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol752 = [1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol753 = [1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1] pubkeycol754 = [0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol755 = [0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol756 = [1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0] pubkeycol757 = [0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol758 = [2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol759 = [0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol760 = [1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol761 = [2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol762 = [0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1] pubkeycol763 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2] pubkeycol764 = [0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol765 = [1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol766 = [1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0] pubkeycol767 = [1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol768 = [0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol769 = [2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol770 = [0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol771 = [2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol772 = [1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol773 = [0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0] pubkeycol774 = [0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0] pubkeycol775 = [2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2] pubkeycol776 = [0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol777 = [1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol778 = [0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol779 = [0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2] pubkeycol780 = [0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol781 = [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol782 = [0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol783 = [2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2] pubkeycol784 = [1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol785 = [2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol786 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol787 = [0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol788 = [1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol789 = [2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol790 = [0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1] pubkeycol791 = [0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol792 = [0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol793 = [0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1] pubkeycol794 = [2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol795 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol796 = [1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol797 = [2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol798 = [1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol799 = [0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol800 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol801 = [2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol802 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol803 = [2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol804 = [1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol805 = [2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1] pubkeycol806 = [1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol807 = [0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol808 = [0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol809 = [0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1] pubkeycol810 = [2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol811 = [2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol812 = [2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2] pubkeycol813 = [2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol814 = [0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol815 = [1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol816 = [2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol817 = [0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol818 = [1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0] pubkeycol819 = [1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol820 = [2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol821 = [1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2] pubkeycol822 = [2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2] pubkeycol823 = [1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol824 = [2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0] pubkeycol825 = [2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol826 = [1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0] pubkeycol827 = [0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0] pubkeycol828 = [1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol829 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol830 = [2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol831 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol832 = [1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0] pubkeycol833 = [2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0] pubkeycol834 = [1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol835 = [1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol836 = [1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol837 = [1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol838 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol839 = [2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol840 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol841 = [0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol842 = [1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol843 = [2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol844 = [0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0] pubkeycol845 = [1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol846 = [1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1] pubkeycol847 = [1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol848 = [0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1] pubkeycol849 = [0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol850 = [0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol851 = [1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol852 = [2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol853 = [0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2] pubkeycol854 = [1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2] pubkeycol855 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol856 = [1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol857 = [1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2] pubkeycol858 = [2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol859 = [2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol860 = [2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol861 = [0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol862 = [0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol863 = [1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol864 = [1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol865 = [1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol866 = [1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol867 = [0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol868 = [0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol869 = [0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol870 = [2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0] pubkeycol871 = [1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol872 = [1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol873 = [0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol874 = [2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2] pubkeycol875 = [2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol876 = [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0] pubkeycol877 = [2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol878 = [0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol879 = [0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol880 = [1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0] pubkeycol881 = [0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol882 = [0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol883 = [2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol884 = [0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol885 = [1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0] pubkeycol886 = [1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2] pubkeycol887 = [0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol888 = [1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol889 = [1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol890 = [1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2] pubkeycol891 = [0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol892 = [0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol893 = [1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol894 = [2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol895 = [2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol896 = [0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2] pubkeycol897 = [1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol898 = [2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol899 = [0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol900 = [2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol901 = [2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol902 = [1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0] pubkeycol903 = [2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol904 = [2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol905 = [0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0] pubkeycol906 = [0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol907 = [1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol908 = [2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol909 = [2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol910 = [1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol911 = [0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0] pubkeycol912 = [2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1] pubkeycol913 = [1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol914 = [1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1] pubkeycol915 = [2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol916 = [1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol917 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol918 = [2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1] pubkeycol919 = [2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol920 = [1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol921 = [2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol922 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol923 = [1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol924 = [0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol925 = [2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1] pubkeycol926 = [0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol927 = [1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol928 = [2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol929 = [2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol930 = [0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol931 = [1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol932 = [1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol933 = [1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol934 = [1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol935 = [1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0] pubkeycol936 = [0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol937 = [1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol938 = [2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol939 = [0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol940 = [0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2] pubkeycol941 = [0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol942 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1] pubkeycol943 = [2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol944 = [2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol945 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol946 = [2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol947 = [2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol948 = [1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol949 = [1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0] pubkeycol950 = [1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol951 = [1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol952 = [2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1] pubkeycol953 = [2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol954 = [0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol955 = [2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol956 = [0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol957 = [2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol958 = [1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol959 = [0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol960 = [1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol961 = [2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol962 = [0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol963 = [1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol964 = [1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol965 = [0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1] pubkeycol966 = [2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol967 = [1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1] pubkeycol968 = [1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol969 = [0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol970 = [0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2] pubkeycol971 = [2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1] pubkeycol972 = [2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol973 = [0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol974 = [0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol975 = [2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol976 = [0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol977 = [0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol978 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol979 = [1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol980 = [1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol981 = [0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol982 = [2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol983 = [0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol984 = [1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol985 = [1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0] pubkeycol986 = [2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2] pubkeycol987 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol988 = [0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol989 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol990 = [2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0] pubkeycol991 = [0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol992 = [0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol993 = [2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol994 = [0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol995 = [1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2] pubkeycol996 = [0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol997 = [1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol998 = [1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol999 = [1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol1000 = [2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol1001 = [1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol1002 = [1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1003 = [2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0] pubkeycol1004 = [0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol1005 = [0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol1006 = [1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol1007 = [0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0] pubkeycol1008 = [1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol1009 = [0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol1010 = [1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol1011 = [2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol1012 = [0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2] pubkeycol1013 = [2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol1014 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol1015 = [1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0] pubkeycol1016 = [0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol1017 = [0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol1018 = [1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol1019 = [1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol1020 = [2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1] pubkeycol1021 = [2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol1022 = [1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol1023 = [0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol1024 = [1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2] pubkeycol1025 = [1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol1026 = [0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1] pubkeycol1027 = [1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol1028 = [2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol1029 = [2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2] pubkeycol1030 = [0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol1031 = [2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol1032 = [0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol1033 = [0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol1034 = [2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol1035 = [1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol1036 = [0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol1037 = [2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol1038 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol1039 = [2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2] pubkeycol1040 = [1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol1041 = [2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol1042 = [2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol1043 = [1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol1044 = [1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol1045 = [1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0] pubkeycol1046 = [1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol1047 = [2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol1048 = [0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol1049 = [2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2] pubkeycol1050 = [0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol1051 = [2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol1052 = [0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol1053 = [0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol1054 = [2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol1055 = [0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol1056 = [0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2] pubkeycol1057 = [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol1058 = [2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol1059 = [1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol1060 = [0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol1061 = [0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol1062 = [1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2] pubkeycol1063 = [2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol1064 = [1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2] pubkeycol1065 = [2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0] pubkeycol1066 = [1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol1067 = [0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol1068 = [2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol1069 = [1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol1070 = [2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2] pubkeycol1071 = [1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol1072 = [0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol1073 = [0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol1074 = [0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol1075 = [2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol1076 = [1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol1077 = [1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol1078 = [1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0] pubkeycol1079 = [1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol1080 = [0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1] pubkeycol1081 = [1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol1082 = [1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol1083 = [0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol1084 = [2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol1085 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol1086 = [2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol1087 = [1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2] pubkeycol1088 = [1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0] pubkeycol1089 = [1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol1090 = [0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol1091 = [1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0] pubkeycol1092 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol1093 = [2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol1094 = [1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1] pubkeycol1095 = [0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1] pubkeycol1096 = [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol1097 = [0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol1098 = [2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol1099 = [2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2] pubkeycol1100 = [0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0] pubkeycol1101 = [0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol1102 = [2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1] pubkeycol1103 = [1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol1104 = [1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol1105 = [2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol1106 = [0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol1107 = [1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol1108 = [0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1] pubkeycol1109 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1110 = [0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol1111 = [0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol1112 = [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0] pubkeycol1113 = [1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol1114 = [0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol1115 = [0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1] pubkeycol1116 = [1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol1117 = [2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol1118 = [1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1] pubkeycol1119 = [1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol1120 = [0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1] pubkeycol1121 = [1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol1122 = [1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2] pubkeycol1123 = [2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol1124 = [0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1125 = [1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1126 = [0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol1127 = [0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol1128 = [1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol1129 = [1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol1130 = [1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2] pubkeycol1131 = [0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1] pubkeycol1132 = [2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0] pubkeycol1133 = [2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol1134 = [1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2] pubkeycol1135 = [2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1] pubkeycol1136 = [1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol1137 = [1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol1138 = [2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol1139 = [1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol1140 = [0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2] pubkeycol1141 = [0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1142 = [1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol1143 = [0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol1144 = [0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol1145 = [0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2] pubkeycol1146 = [2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol1147 = [0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0] pubkeycol1148 = [0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol1149 = [1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol1150 = [1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol1151 = [1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol1152 = [1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol1153 = [0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1] pubkeycol1154 = [2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol1155 = [1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol1156 = [1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol1157 = [2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol1158 = [2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol1159 = [2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol1160 = [2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol1161 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol1162 = [1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol1163 = [2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol1164 = [2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1] pubkeycol1165 = [0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1] pubkeycol1166 = [2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol1167 = [2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol1168 = [0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol1169 = [2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol1170 = [2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol1171 = [1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol1172 = [2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol1173 = [1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2] pubkeycol1174 = [2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol1175 = [0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0] pubkeycol1176 = [0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol1177 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol1178 = [1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol1179 = [2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol1180 = [1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol1181 = [1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol1182 = [1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2] pubkeycol1183 = [1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2] pubkeycol1184 = [0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol1185 = [1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol1186 = [1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol1187 = [1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol1188 = [1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol1189 = [0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0