kilobytes = 183.897441087091 q = 3 m = 7 n = 2159 s = 0 t = 44 u = 88 k = 1543 w = 66 ciphertext = [1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol616 = [1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol617 = [1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol618 = [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol619 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol620 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol621 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol622 = [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol623 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol624 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol625 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol626 = [0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol627 = [2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol628 = [1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol629 = [2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1] pubkeycol630 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol631 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol632 = [0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol633 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol634 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol635 = [0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol636 = [0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol637 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0] pubkeycol638 = [1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol639 = [0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol640 = [0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol641 = [0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol642 = [0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol643 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol644 = [0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol645 = [0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol646 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol647 = [1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol648 = [0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol649 = [1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol650 = [2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol651 = [1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol652 = [1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol653 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol654 = [0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol655 = [2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol656 = [0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol657 = [0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol658 = [2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol659 = [1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol660 = [0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol661 = [2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol662 = [1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1] pubkeycol663 = [1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0] pubkeycol664 = [0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol665 = [1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol666 = [0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol667 = [2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol668 = [0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol669 = [2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol670 = [2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol671 = [1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol672 = [1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol673 = [1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol674 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol675 = [2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol676 = [2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol677 = [2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol678 = [2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol679 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol680 = [1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol681 = [2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol682 = [1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol683 = [2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol684 = [2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2] pubkeycol685 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol686 = [0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol687 = [1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol688 = [1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol689 = [1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol690 = [1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol691 = [0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol692 = [2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol693 = [2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol694 = [2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol695 = [0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol696 = [2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol697 = [1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol698 = [2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2] pubkeycol699 = [0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol700 = [2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol701 = [0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol702 = [1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0] pubkeycol703 = [0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol704 = [1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol705 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol706 = [2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol707 = [0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol708 = [1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol709 = [1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol710 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol711 = [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol712 = [1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol713 = [0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0] pubkeycol714 = [1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol715 = [2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol716 = [1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol717 = [0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol718 = [2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol719 = [0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol720 = [0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol721 = [2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol722 = [2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol723 = [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol724 = [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol725 = [2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol726 = [1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol727 = [2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol728 = [2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2] pubkeycol729 = [1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol730 = [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol731 = [1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol732 = [0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2] pubkeycol733 = [1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1] pubkeycol734 = [1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol735 = [2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol736 = [2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol737 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol738 = [1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol739 = [2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol740 = [2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol741 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol742 = [0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol743 = [1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol744 = [0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol745 = [1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol746 = [2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol747 = [2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol748 = [1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol749 = [1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol750 = [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol751 = [0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol752 = [0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol753 = [1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol754 = [2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol755 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol756 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol757 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol758 = [2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol759 = [0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol760 = [2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol761 = [2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol762 = [0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1] pubkeycol763 = [0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol764 = [2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol765 = [0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol766 = [2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol767 = [2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol768 = [0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol769 = [2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol770 = [2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol771 = [0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol772 = [1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol773 = [2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol774 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol775 = [0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol776 = [1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol777 = [0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol778 = [1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol779 = [2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol780 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol781 = [2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol782 = [2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol783 = [2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol784 = [0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol785 = [2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol786 = [1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1] pubkeycol787 = [2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1] pubkeycol788 = [0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0] pubkeycol789 = [0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol790 = [1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol791 = [1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol792 = [2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol793 = [2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol794 = [2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0] pubkeycol795 = [0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol796 = [1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol797 = [1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol798 = [1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol799 = [0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol800 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol801 = [1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol802 = [2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol803 = [2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol804 = [2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0] pubkeycol805 = [0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol806 = [2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2] pubkeycol807 = [0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol808 = [1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol809 = [1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol810 = [2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol811 = [2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol812 = [1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol813 = [1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol814 = [0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2] pubkeycol815 = [2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol816 = [1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol817 = [0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1] pubkeycol818 = [2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol819 = [2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1] pubkeycol820 = [2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol821 = [2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol822 = [2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol823 = [1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol824 = [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol825 = [0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol826 = [2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol827 = [2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1] pubkeycol828 = [0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol829 = [0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol830 = [1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol831 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol832 = [2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol833 = [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1] pubkeycol834 = [0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol835 = [1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol836 = [1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol837 = [0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0] pubkeycol838 = [0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1] pubkeycol839 = [0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol840 = [2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol841 = [0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol842 = [0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol843 = [1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol844 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol845 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol846 = [2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol847 = [0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2] pubkeycol848 = [2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol849 = [2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol850 = [2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol851 = [0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol852 = [0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol853 = [2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol854 = [2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol855 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol856 = [0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1] pubkeycol857 = [0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1] pubkeycol858 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol859 = [2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol860 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol861 = [0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0] pubkeycol862 = [2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol863 = [0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol864 = [2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol865 = [0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1] pubkeycol866 = [2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol867 = [1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol868 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol869 = [2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol870 = [0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol871 = [1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol872 = [0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol873 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol874 = [1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol875 = [0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol876 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol877 = [1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol878 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol879 = [0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1] pubkeycol880 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol881 = [2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol882 = [2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol883 = [0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol884 = [1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol885 = [0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol886 = [2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol887 = [1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol888 = [0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol889 = [1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol890 = [1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol891 = [0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol892 = [1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol893 = [0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol894 = [0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol895 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol896 = [2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol897 = [0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol898 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol899 = [2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol900 = [0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol901 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1] pubkeycol902 = [1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol903 = [1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol904 = [1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2] pubkeycol905 = [2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol906 = [0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0] pubkeycol907 = [2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol908 = [1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol909 = [1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol910 = [1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol911 = [1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol912 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol913 = [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol914 = [0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol915 = [0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol916 = [2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol917 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol918 = [0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol919 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol920 = [2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol921 = [1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol922 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol923 = [2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1] pubkeycol924 = [1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol925 = [1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol926 = [2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol927 = [0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol928 = [0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol929 = [0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol930 = [0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol931 = [1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol932 = [0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol933 = [1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol934 = [1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol935 = [2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol936 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol937 = [2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol938 = [1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol939 = [2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol940 = [1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol941 = [1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol942 = [2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1] pubkeycol943 = [1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol944 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol945 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol946 = [0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol947 = [1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0] pubkeycol948 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol949 = [1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol950 = [2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol951 = [1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol952 = [2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol953 = [2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol954 = [1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol955 = [2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol956 = [2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol957 = [2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol958 = [2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol959 = [0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol960 = [2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol961 = [0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol962 = [1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol963 = [2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol964 = [0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1] pubkeycol965 = [0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol966 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1] pubkeycol967 = [1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0] pubkeycol968 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol969 = [0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol970 = [2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol971 = [0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol972 = [1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol973 = [0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol974 = [2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol975 = [2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol976 = [0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2] pubkeycol977 = [1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol978 = [0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2] pubkeycol979 = [2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol980 = [2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0] pubkeycol981 = [2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol982 = [0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol983 = [0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol984 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol985 = [2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol986 = [1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol987 = [1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol988 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol989 = [0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol990 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol991 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0] pubkeycol992 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol993 = [2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol994 = [2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol995 = [0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol996 = [0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol997 = [1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol998 = [0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol999 = [2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol1000 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1] pubkeycol1001 = [0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0] pubkeycol1002 = [1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1] pubkeycol1003 = [0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol1004 = [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol1005 = [2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol1006 = [0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol1007 = [0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol1008 = [1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1009 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol1010 = [1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol1011 = [2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol1012 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol1013 = [2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol1014 = [1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol1015 = [0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol1016 = [2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1017 = [0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol1018 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol1019 = [0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol1020 = [1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol1021 = [0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol1022 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1] pubkeycol1023 = [1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol1024 = [2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol1025 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol1026 = [1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol1027 = [2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol1028 = [1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol1029 = [1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1] pubkeycol1030 = [0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol1031 = [2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2] pubkeycol1032 = [0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0] pubkeycol1033 = [1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol1034 = [0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol1035 = [2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol1036 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1] pubkeycol1037 = [0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol1038 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol1039 = [1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol1040 = [2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol1041 = [1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol1042 = [2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2] pubkeycol1043 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol1044 = [0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol1045 = [0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol1046 = [0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1] pubkeycol1047 = [1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1048 = [1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol1049 = [2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol1050 = [0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol1051 = [0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol1052 = [1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1053 = [1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol1054 = [0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol1055 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol1056 = [1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol1057 = [1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol1058 = [1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol1059 = [0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol1060 = [0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol1061 = [1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol1062 = [2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2] pubkeycol1063 = [0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol1064 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol1065 = [1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0] pubkeycol1066 = [1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol1067 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol1068 = [2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol1069 = [2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol1070 = [1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol1071 = [2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol1072 = [2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol1073 = [1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol1074 = [1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol1075 = [1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol1076 = [1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol1077 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1] pubkeycol1078 = [2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol1079 = [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1] pubkeycol1080 = [0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol1081 = [1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol1082 = [1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol1083 = [0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol1084 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol1085 = [0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol1086 = [2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol1087 = [2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol1088 = [0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol1089 = [1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1090 = [1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol1091 = [2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1092 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol1093 = [0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol1094 = [0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol1095 = [0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol1096 = [2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol1097 = [1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol1098 = [1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol1099 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol1100 = [0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1] pubkeycol1101 = [0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol1102 = [2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol1103 = [1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol1104 = [2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol1105 = [1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol1106 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol1107 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol1108 = [2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol1109 = [2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol1110 = [0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol1111 = [1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol1112 = [0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol1113 = [2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol1114 = [2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol1115 = [0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol1116 = [2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol1117 = [0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol1118 = [1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol1119 = [2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1] pubkeycol1120 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol1121 = [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol1122 = [1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1123 = [0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2] pubkeycol1124 = [2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol1125 = [2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol1126 = [1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol1127 = [1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2] pubkeycol1128 = [1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol1129 = [1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol1130 = [2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol1131 = [2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol1132 = [1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol1133 = [1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol1134 = [2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol1135 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol1136 = [0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol1137 = [1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1] pubkeycol1138 = [1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol1139 = [1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol1140 = [2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1141 = [2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1] pubkeycol1142 = [0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol1143 = [2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1144 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol1145 = [2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol1146 = [2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol1147 = [1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol1148 = [2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol1149 = [2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol1150 = [2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2] pubkeycol1151 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol1152 = [0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol1153 = [1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol1154 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol1155 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1] pubkeycol1156 = [0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol1157 = [1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol1158 = [1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol1159 = [1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol1160 = [2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol1161 = [2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0] pubkeycol1162 = [0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol1163 = [0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol1164 = [1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol1165 = [0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol1166 = [1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol1167 = [1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol1168 = [0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol1169 = [2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol1170 = [0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0] pubkeycol1171 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol1172 = [1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol1173 = [0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol1174 = [2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol1175 = [2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2] pubkeycol1176 = [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol1177 = [1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0,