kilobytes = 181.632987826783 q = 3 m = 7 n = 2140 s = 0 t = 44 u = 88 k = 1524 w = 66 ciphertext = [2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol616 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol617 = [1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol618 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol619 = [2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol620 = [0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol621 = [0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol622 = [1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol623 = [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol624 = [1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol625 = [2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol626 = [1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol627 = [0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol628 = [1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol629 = [0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1] pubkeycol630 = [0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol631 = [1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol632 = [1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0] pubkeycol633 = [2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol634 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol635 = [2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol636 = [2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol637 = [0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol638 = [2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol639 = [0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1] pubkeycol640 = [0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol641 = [1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1] pubkeycol642 = [1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol643 = [2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol644 = [1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol645 = [0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol646 = [1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol647 = [2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol648 = [1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol649 = [2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol650 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol651 = [1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol652 = [1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1] pubkeycol653 = [0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1] pubkeycol654 = [1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol655 = [0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol656 = [2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol657 = [0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2] pubkeycol658 = [2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol659 = [0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol660 = [2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol661 = [0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol662 = [2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol663 = [1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2] pubkeycol664 = [2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol665 = [1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol666 = [0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol667 = [1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol668 = [0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol669 = [1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol670 = [1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol671 = [1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol672 = [1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol673 = [0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol674 = [0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol675 = [1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol676 = [2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol677 = [1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol678 = [2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol679 = [0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1] pubkeycol680 = [2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol681 = [0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol682 = [1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol683 = [0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol684 = [0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol685 = [2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol686 = [2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol687 = [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol688 = [1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol689 = [0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol690 = [2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol691 = [2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol692 = [2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol693 = [2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol694 = [0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol695 = [0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol696 = [2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol697 = [0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol698 = [0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol699 = [1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol700 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol701 = [0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol702 = [2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol703 = [0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol704 = [0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol705 = [1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol706 = [1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol707 = [0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol708 = [0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol709 = [1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol710 = [1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol711 = [2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol712 = [2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol713 = [2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol714 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol715 = [0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol716 = [0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol717 = [0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol718 = [2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol719 = [2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol720 = [0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol721 = [0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2] pubkeycol722 = [0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol723 = [2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol724 = [1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol725 = [0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol726 = [1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol727 = [2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol728 = [1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol729 = [1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol730 = [2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol731 = [1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol732 = [0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol733 = [2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol734 = [2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1] pubkeycol735 = [1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol736 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol737 = [0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol738 = [0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol739 = [2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol740 = [0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1] pubkeycol741 = [2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol742 = [1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1] pubkeycol743 = [1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol744 = [2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1] pubkeycol745 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol746 = [1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol747 = [2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol748 = [2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2] pubkeycol749 = [1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol750 = [2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0] pubkeycol751 = [0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol752 = [2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol753 = [0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol754 = [0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol755 = [2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1] pubkeycol756 = [1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol757 = [1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol758 = [2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1] pubkeycol759 = [0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol760 = [1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol761 = [1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol762 = [2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol763 = [1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol764 = [2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol765 = [1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol766 = [1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol767 = [2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2] pubkeycol768 = [1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol769 = [0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol770 = [1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol771 = [1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol772 = [0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol773 = [2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol774 = [0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol775 = [1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol776 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol777 = [1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol778 = [1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol779 = [1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol780 = [2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol781 = [2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2] pubkeycol782 = [1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol783 = [1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol784 = [1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2] pubkeycol785 = [0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0] pubkeycol786 = [1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol787 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol788 = [0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol789 = [2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol790 = [1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol791 = [0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol792 = [0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1] pubkeycol793 = [2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol794 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol795 = [1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol796 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol797 = [2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2] pubkeycol798 = [0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol799 = [0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol800 = [2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol801 = [1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2] pubkeycol802 = [2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol803 = [1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol804 = [1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol805 = [2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1] pubkeycol806 = [0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2] pubkeycol807 = [1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol808 = [2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol809 = [0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol810 = [2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol811 = [2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol812 = [0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol813 = [0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0] pubkeycol814 = [0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol815 = [2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol816 = [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol817 = [2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol818 = [2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0] pubkeycol819 = [2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol820 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol821 = [2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol822 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol823 = [0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol824 = [1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol825 = [2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol826 = [0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol827 = [1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol828 = [1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol829 = [1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol830 = [2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol831 = [2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol832 = [0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2] pubkeycol833 = [1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol834 = [1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol835 = [1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol836 = [2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol837 = [0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2] pubkeycol838 = [2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol839 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol840 = [2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol841 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2] pubkeycol842 = [2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol843 = [1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2] pubkeycol844 = [0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol845 = [1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol846 = [0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol847 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol848 = [2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2] pubkeycol849 = [0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol850 = [1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol851 = [1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol852 = [2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol853 = [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0] pubkeycol854 = [1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1] pubkeycol855 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol856 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0] pubkeycol857 = [0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol858 = [2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol859 = [1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol860 = [2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0] pubkeycol861 = [2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1] pubkeycol862 = [0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol863 = [2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2] pubkeycol864 = [0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol865 = [0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol866 = [1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol867 = [1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol868 = [0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol869 = [0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol870 = [0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol871 = [1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol872 = [2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol873 = [1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol874 = [1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol875 = [2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol876 = [0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol877 = [1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol878 = [0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol879 = [0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol880 = [1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol881 = [1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1] pubkeycol882 = [2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol883 = [0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol884 = [0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol885 = [0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol886 = [2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol887 = [2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol888 = [1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol889 = [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol890 = [0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol891 = [1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol892 = [0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0] pubkeycol893 = [1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1] pubkeycol894 = [1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol895 = [0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol896 = [2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol897 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0] pubkeycol898 = [2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol899 = [2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol900 = [0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol901 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol902 = [2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol903 = [2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol904 = [1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol905 = [1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0] pubkeycol906 = [2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol907 = [0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol908 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0] pubkeycol909 = [1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol910 = [2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol911 = [1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol912 = [2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol913 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol914 = [1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol915 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol916 = [0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2] pubkeycol917 = [2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol918 = [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0] pubkeycol919 = [2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol920 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol921 = [1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol922 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol923 = [0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol924 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol925 = [0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol926 = [1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1] pubkeycol927 = [1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol928 = [0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol929 = [1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol930 = [0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol931 = [1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol932 = [2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol933 = [2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol934 = [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol935 = [2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol936 = [2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol937 = [1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2] pubkeycol938 = [0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol939 = [2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0] pubkeycol940 = [1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol941 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol942 = [2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol943 = [2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol944 = [0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol945 = [1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2] pubkeycol946 = [0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol947 = [2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol948 = [2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol949 = [1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol950 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol951 = [0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2] pubkeycol952 = [2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1] pubkeycol953 = [1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol954 = [0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol955 = [2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol956 = [0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol957 = [0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol958 = [2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0] pubkeycol959 = [0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol960 = [2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol961 = [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol962 = [0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol963 = [1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0] pubkeycol964 = [1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol965 = [1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2] pubkeycol966 = [1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol967 = [2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol968 = [1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol969 = [0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol970 = [0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol971 = [1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol972 = [0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2] pubkeycol973 = [1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol974 = [1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol975 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol976 = [2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol977 = [0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol978 = [0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol979 = [0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol980 = [2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol981 = [2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol982 = [0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0] pubkeycol983 = [0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol984 = [2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol985 = [1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol986 = [2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol987 = [2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol988 = [0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol989 = [0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol990 = [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol991 = [2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol992 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1] pubkeycol993 = [0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol994 = [0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol995 = [1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol996 = [2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1] pubkeycol997 = [0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0] pubkeycol998 = [0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol999 = [2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol1000 = [2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol1001 = [0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol1002 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol1003 = [2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol1004 = [2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol1005 = [0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0] pubkeycol1006 = [1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1] pubkeycol1007 = [2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol1008 = [0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol1009 = [2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol1010 = [0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2] pubkeycol1011 = [1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol1012 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol1013 = [2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol1014 = [0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0] pubkeycol1015 = [1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol1016 = [2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2] pubkeycol1017 = [2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol1018 = [2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol1019 = [1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol1020 = [2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol1021 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2] pubkeycol1022 = [1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0] pubkeycol1023 = [2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol1024 = [2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol1025 = [2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol1026 = [0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol1027 = [1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol1028 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol1029 = [2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol1030 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol1031 = [2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol1032 = [2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol1033 = [0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0] pubkeycol1034 = [1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol1035 = [0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol1036 = [2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0] pubkeycol1037 = [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol1038 = [2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0] pubkeycol1039 = [1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol1040 = [0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol1041 = [1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol1042 = [0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2] pubkeycol1043 = [1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol1044 = [1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol1045 = [0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol1046 = [1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol1047 = [2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol1048 = [1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol1049 = [1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol1050 = [1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2] pubkeycol1051 = [0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol1052 = [2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol1053 = [1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol1054 = [1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol1055 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol1056 = [1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol1057 = [2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2] pubkeycol1058 = [2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol1059 = [2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol1060 = [2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol1061 = [2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol1062 = [0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0] pubkeycol1063 = [2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol1064 = [1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol1065 = [1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1] pubkeycol1066 = [2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol1067 = [2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol1068 = [0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1] pubkeycol1069 = [1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1] pubkeycol1070 = [0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol1071 = [2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0] pubkeycol1072 = [0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol1073 = [1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol1074 = [1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol1075 = [2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol1076 = [0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2] pubkeycol1077 = [1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol1078 = [1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol1079 = [2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol1080 = [0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0] pubkeycol1081 = [2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol1082 = [0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol1083 = [2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2] pubkeycol1084 = [2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol1085 = [0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1] pubkeycol1086 = [2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol1087 = [1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol1088 = [2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol1089 = [1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol1090 = [2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol1091 = [2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol1092 = [1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol1093 = [1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0] pubkeycol1094 = [2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol1095 = [2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol1096 = [1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol1097 = [0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1] pubkeycol1098 = [1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol1099 = [1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol1100 = [0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol1101 = [1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol1102 = [0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1103 = [1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol1104 = [0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol1105 = [2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol1106 = [1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol1107 = [1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1] pubkeycol1108 = [1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2] pubkeycol1109 = [1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol1110 = [2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol1111 = [2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1] pubkeycol1112 = [1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol1113 = [1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol1114 = [2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol1115 = [2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol1116 = [0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol1117 = [2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol1118 = [1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol1119 = [2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol1120 = [0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol1121 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1] pubkeycol1122 = [1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol1123 = [1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol1124 = [2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol1125 = [2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2] pubkeycol1126 = [0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol1127 = [0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol1128 = [0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol1129 = [2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol1130 = [2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol1131 = [0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1132 = [1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol1133 = [1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol1134 = [2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0] pubkeycol1135 = [2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol1136 = [2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol1137 = [0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol1138 = [0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1] pubkeycol1139 = [0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0] pubkeycol1140 = [1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol1141 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol1142 = [2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol1143 = [2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol1144 = [1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol1145 = [2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol1146 = [2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol1147 = [1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol1148 = [0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1] pubkeycol1149 = [0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol1150 = [0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol1151 = [1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0] pubkeycol1152 = [1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1153 = [1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol1154 = [0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol1155 = [2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol1156 = [1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol1157 = [2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol1158 = [1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol1159 = [2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0] pubkeycol1160 = [2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol1161 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol1162 = [0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2] pubkeycol1163 = [0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol1164 = [0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol1165 = [1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol1166 = [0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1] pubkeycol1167 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol1168 = [1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2] pubkeycol1169 = [0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1] pubkeycol1170 = [2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2] pubkeycol1171 = [2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol1172 = [0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2] pubkeycol1173 = [2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol1174 = [1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol1175 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0] pubkeycol1176 = [0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol1177 = [1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2,