kilobytes = 175.912263800743 q = 3 m = 7 n = 2092 s = 0 t = 44 u = 88 k = 1476 w = 66 ciphertext = [1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1] recovered_plaintext_using_secret_key = True pubkeycol616 = [0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol617 = [0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol618 = [2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2] pubkeycol619 = [2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol620 = [2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol621 = [2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol622 = [1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol623 = [0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol624 = [0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol625 = [0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol626 = [1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol627 = [0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol628 = [2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1] pubkeycol629 = [1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol630 = [1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol631 = [1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2] pubkeycol632 = [0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol633 = [2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2] pubkeycol634 = [1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol635 = [0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2] pubkeycol636 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol637 = [1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol638 = [0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol639 = [0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol640 = [1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol641 = [0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol642 = [1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1] pubkeycol643 = [1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol644 = [1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol645 = [2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol646 = [0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol647 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2] pubkeycol648 = [2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol649 = [0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol650 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol651 = [1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol652 = [1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol653 = [1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol654 = [0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol655 = [1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol656 = [1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0] pubkeycol657 = [2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol658 = [0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol659 = [0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol660 = [1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol661 = [0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1] pubkeycol662 = [1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol663 = [2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol664 = [2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol665 = [0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol666 = [2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0] pubkeycol667 = [2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol668 = [0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol669 = [1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol670 = [0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol671 = [1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol672 = [0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol673 = [0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2] pubkeycol674 = [1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1] pubkeycol675 = [0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol676 = [2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol677 = [1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol678 = [1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol679 = [2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol680 = [1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol681 = [1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol682 = [2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol683 = [1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol684 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1] pubkeycol685 = [1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol686 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol687 = [1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol688 = [0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol689 = [2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol690 = [1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol691 = [0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol692 = [2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0] pubkeycol693 = [0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol694 = [1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol695 = [2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol696 = [0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1] pubkeycol697 = [0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol698 = [2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2] pubkeycol699 = [0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol700 = [2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol701 = [0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol702 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0] pubkeycol703 = [2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol704 = [2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol705 = [2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol706 = [1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol707 = [1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol708 = [0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol709 = [2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol710 = [0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol711 = [0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0] pubkeycol712 = [1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol713 = [2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2] pubkeycol714 = [2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol715 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol716 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1] pubkeycol717 = [1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol718 = [2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0] pubkeycol719 = [1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol720 = [2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol721 = [2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol722 = [1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2] pubkeycol723 = [1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol724 = [2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol725 = [0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2] pubkeycol726 = [1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2] pubkeycol727 = [1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0] pubkeycol728 = [2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol729 = [2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol730 = [0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol731 = [0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol732 = [2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol733 = [0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol734 = [1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol735 = [1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol736 = [0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol737 = [0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0] pubkeycol738 = [2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1] pubkeycol739 = [2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol740 = [0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol741 = [2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol742 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol743 = [2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol744 = [0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol745 = [2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2] pubkeycol746 = [1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0] pubkeycol747 = [2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol748 = [1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1] pubkeycol749 = [2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol750 = [1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol751 = [2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2] pubkeycol752 = [0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol753 = [1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol754 = [0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0] pubkeycol755 = [1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol756 = [0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol757 = [0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol758 = [2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol759 = [0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2] pubkeycol760 = [0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol761 = [2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol762 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol763 = [2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol764 = [0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2] pubkeycol765 = [2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol766 = [2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0] pubkeycol767 = [2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol768 = [0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol769 = [2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol770 = [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol771 = [1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol772 = [0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol773 = [0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol774 = [1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol775 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol776 = [0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol777 = [0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0] pubkeycol778 = [0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol779 = [1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol780 = [2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol781 = [0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol782 = [0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol783 = [2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1] pubkeycol784 = [2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2] pubkeycol785 = [2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol786 = [0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol787 = [2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol788 = [2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol789 = [0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol790 = [0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol791 = [1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol792 = [0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol793 = [2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol794 = [1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol795 = [2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol796 = [1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol797 = [0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol798 = [1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol799 = [0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0] pubkeycol800 = [1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol801 = [0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol802 = [0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol803 = [0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2] pubkeycol804 = [2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol805 = [1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol806 = [1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol807 = [2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol808 = [1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2] pubkeycol809 = [1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol810 = [2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol811 = [1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol812 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol813 = [0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0] pubkeycol814 = [0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol815 = [1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol816 = [1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol817 = [1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol818 = [2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol819 = [0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol820 = [2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0] pubkeycol821 = [2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol822 = [0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol823 = [2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol824 = [0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol825 = [1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1] pubkeycol826 = [0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol827 = [0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol828 = [2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol829 = [0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol830 = [0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2] pubkeycol831 = [1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0] pubkeycol832 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol833 = [0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol834 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2] pubkeycol835 = [0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1] pubkeycol836 = [0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol837 = [2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol838 = [2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol839 = [0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol840 = [2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1] pubkeycol841 = [2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol842 = [1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol843 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol844 = [0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0] pubkeycol845 = [0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol846 = [2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol847 = [1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol848 = [0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol849 = [1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1] pubkeycol850 = [2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol851 = [2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol852 = [0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol853 = [2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2] pubkeycol854 = [0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol855 = [0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol856 = [2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1] pubkeycol857 = [2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol858 = [1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0] pubkeycol859 = [2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol860 = [1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol861 = [1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0] pubkeycol862 = [0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0] pubkeycol863 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol864 = [1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol865 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol866 = [1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol867 = [2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol868 = [1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol869 = [2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol870 = [0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol871 = [2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol872 = [0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol873 = [2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol874 = [2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol875 = [0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol876 = [2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol877 = [0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol878 = [2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2] pubkeycol879 = [2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol880 = [0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol881 = [2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol882 = [2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2] pubkeycol883 = [1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol884 = [0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol885 = [1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol886 = [2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol887 = [2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol888 = [0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol889 = [2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol890 = [0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2] pubkeycol891 = [0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol892 = [0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2] pubkeycol893 = [1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol894 = [1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol895 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol896 = [1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol897 = [2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol898 = [2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol899 = [0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol900 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol901 = [2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol902 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol903 = [2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol904 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol905 = [0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2] pubkeycol906 = [2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol907 = [0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol908 = [2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1] pubkeycol909 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol910 = [0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol911 = [2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol912 = [0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol913 = [0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1] pubkeycol914 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol915 = [0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0] pubkeycol916 = [1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol917 = [1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol918 = [1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol919 = [1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0] pubkeycol920 = [0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol921 = [1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol922 = [2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol923 = [2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol924 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol925 = [1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol926 = [1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol927 = [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2] pubkeycol928 = [2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol929 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol930 = [2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol931 = [2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol932 = [2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol933 = [2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol934 = [0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol935 = [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol936 = [2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol937 = [2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol938 = [2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol939 = [1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol940 = [1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol941 = [2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol942 = [1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol943 = [1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol944 = [1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol945 = [2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol946 = [2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol947 = [2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol948 = [2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol949 = [0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol950 = [1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol951 = [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol952 = [2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0] pubkeycol953 = [0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol954 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol955 = [2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol956 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol957 = [0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0] pubkeycol958 = [1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol959 = [1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol960 = [0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol961 = [2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol962 = [0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol963 = [1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol964 = [2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol965 = [1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0] pubkeycol966 = [1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol967 = [0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol968 = [0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol969 = [2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol970 = [1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol971 = [2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol972 = [1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol973 = [1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0] pubkeycol974 = [2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol975 = [0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol976 = [0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol977 = [0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol978 = [1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0] pubkeycol979 = [1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2] pubkeycol980 = [1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1] pubkeycol981 = [2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol982 = [2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol983 = [2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol984 = [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol985 = [0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1] pubkeycol986 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2] pubkeycol987 = [1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol988 = [0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol989 = [0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol990 = [1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol991 = [1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0] pubkeycol992 = [2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol993 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol994 = [0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol995 = [0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol996 = [2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol997 = [0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol998 = [1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2] pubkeycol999 = [0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol1000 = [2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1] pubkeycol1001 = [1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol1002 = [1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol1003 = [2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol1004 = [2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol1005 = [2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol1006 = [1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1] pubkeycol1007 = [1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol1008 = [1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol1009 = [0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol1010 = [0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol1011 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol1012 = [2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol1013 = [2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol1014 = [2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol1015 = [1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol1016 = [2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0] pubkeycol1017 = [1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2] pubkeycol1018 = [0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol1019 = [0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2] pubkeycol1020 = [1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol1021 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol1022 = [1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol1023 = [1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol1024 = [2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol1025 = [1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol1026 = [2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol1027 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1] pubkeycol1028 = [2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0] pubkeycol1029 = [1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1] pubkeycol1030 = [2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1031 = [0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol1032 = [2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol1033 = [0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol1034 = [1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol1035 = [1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol1036 = [1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol1037 = [2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol1038 = [2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol1039 = [2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol1040 = [0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol1041 = [1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1] pubkeycol1042 = [0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol1043 = [0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2] pubkeycol1044 = [2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol1045 = [1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol1046 = [2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol1047 = [0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1] pubkeycol1048 = [2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol1049 = [2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol1050 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol1051 = [0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol1052 = [2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol1053 = [1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol1054 = [1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol1055 = [0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol1056 = [1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol1057 = [1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0] pubkeycol1058 = [2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol1059 = [1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol1060 = [0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol1061 = [2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol1062 = [0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol1063 = [1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol1064 = [1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol1065 = [2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol1066 = [0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol1067 = [2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol1068 = [1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol1069 = [2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0] pubkeycol1070 = [0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol1071 = [0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol1072 = [2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol1073 = [2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol1074 = [2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol1075 = [1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol1076 = [2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol1077 = [1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol1078 = [0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol1079 = [2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2] pubkeycol1080 = [0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol1081 = [1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1] pubkeycol1082 = [2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol1083 = [1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol1084 = [2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol1085 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol1086 = [0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2] pubkeycol1087 = [0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0] pubkeycol1088 = [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol1089 = [0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol1090 = [1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol1091 = [1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol1092 = [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1] pubkeycol1093 = [2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol1094 = [0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol1095 = [0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol1096 = [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol1097 = [2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol1098 = [1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1] pubkeycol1099 = [0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1] pubkeycol1100 = [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol1101 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0] pubkeycol1102 = [1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2] pubkeycol1103 = [1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0] pubkeycol1104 = [1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol1105 = [0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol1106 = [1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol1107 = [0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol1108 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol1109 = [2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol1110 = [1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol1111 = [2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol1112 = [0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol1113 = [0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol1114 = [1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1] pubkeycol1115 = [1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol1116 = [1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2] pubkeycol1117 = [0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol1118 = [0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol1119 = [2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol1120 = [2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol1121 = [2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol1122 = [0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol1123 = [2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol1124 = [2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol1125 = [0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2] pubkeycol1126 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol1127 = [1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol1128 = [2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol1129 = [2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol1130 = [2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol1131 = [0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol1132 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol1133 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2] pubkeycol1134 = [1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol1135 = [2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol1136 = [2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol1137 = [2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol1138 = [1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol1139 = [2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol1140 = [1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol1141 = [0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol1142 = [2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol1143 = [1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1] pubkeycol1144 = [1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol1145 = [2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0] pubkeycol1146 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol1147 = [1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol1148 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1149 = [0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol1150 = [0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol1151 = [2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol1152 = [0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol1153 = [0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol1154 = [1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol1155 = [2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol1156 = [0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol1157 = [2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol1158 = [1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol1159 = [2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol1160 = [2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol1161 = [2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0] pubkeycol1162 = [1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol1163 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol1164 = [1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol1165 = [1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1] pubkeycol1166 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol1167 = [2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol1168 = [0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol1169 = [0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol1170 = [0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol1171 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol1172 = [0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol1173 = [2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1] pubkeycol1174 = [1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1] pubkeycol1175 = [1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol1176 = [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol1177 = [1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1,