kilobytes = 115.302926297580 q = 3 m = 7 n = 1728 s = 0 t = 34 u = 68 k = 1252 w = 51 ciphertext = [1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol476 = [1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1] pubkeycol477 = [1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol478 = [2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol479 = [1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol480 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol481 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol482 = [0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol483 = [1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol484 = [2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol485 = [1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol486 = [1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol487 = [1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol488 = [0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0] pubkeycol489 = [0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol490 = [2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol491 = [1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol492 = [0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol493 = [0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol494 = [2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol495 = [1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2] pubkeycol496 = [2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol497 = [2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol498 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2] pubkeycol499 = [0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol500 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol501 = [0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol502 = [2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol503 = [0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol504 = [0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol505 = [1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol506 = [2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol507 = [0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol508 = [0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol509 = [1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol510 = [2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol511 = [2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1] pubkeycol512 = [1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol513 = [2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2] pubkeycol514 = [1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol515 = [2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1] pubkeycol516 = [1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol517 = [1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol518 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol519 = [2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol520 = [2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol521 = [2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol522 = [0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol523 = [2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol524 = [1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol525 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol526 = [0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol527 = [1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1] pubkeycol528 = [1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol529 = [0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol530 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol531 = [2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol532 = [0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol533 = [0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol534 = [1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol535 = [2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol536 = [0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol537 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol538 = [1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol539 = [0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2] pubkeycol540 = [2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol541 = [1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0] pubkeycol542 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol543 = [0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol544 = [2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1] pubkeycol545 = [1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0] pubkeycol546 = [0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol547 = [2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol548 = [2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol549 = [0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol550 = [1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol551 = [0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol552 = [2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol553 = [1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol554 = [2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol555 = [0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol556 = [0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2] pubkeycol557 = [2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol558 = [1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol559 = [2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol560 = [2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol561 = [0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol562 = [2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol563 = [2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2] pubkeycol564 = [1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol565 = [1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol566 = [1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol567 = [0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol568 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0] pubkeycol569 = [2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol570 = [0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol571 = [1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol572 = [0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol573 = [1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0] pubkeycol574 = [2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol575 = [0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol576 = [2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2] pubkeycol577 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol578 = [2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1] pubkeycol579 = [1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1] pubkeycol580 = [1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1] pubkeycol581 = [2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2] pubkeycol582 = [1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol583 = [1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol584 = [2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0] pubkeycol585 = [0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol586 = [1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol587 = [2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol588 = [1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol589 = [2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol590 = [0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol591 = [2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol592 = [2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol593 = [1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol594 = [1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2] pubkeycol595 = [2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol596 = [1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol597 = [1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol598 = [0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol599 = [0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol600 = [1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol601 = [1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol602 = [0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1] pubkeycol603 = [1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol604 = [0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol605 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol606 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2] pubkeycol607 = [0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol608 = [1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1] pubkeycol609 = [1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol610 = [0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0] pubkeycol611 = [1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol612 = [2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol613 = [2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol614 = [1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol615 = [0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol616 = [1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0] pubkeycol617 = [1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol618 = [1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol619 = [0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol620 = [0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol621 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol622 = [2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0] pubkeycol623 = [1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol624 = [2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol625 = [0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol626 = [0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol627 = [2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0] pubkeycol628 = [1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol629 = [2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0] pubkeycol630 = [0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1] pubkeycol631 = [1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol632 = [0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1] pubkeycol633 = [2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol634 = [2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol635 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol636 = [1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol637 = [1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol638 = [1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol639 = [1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol640 = [2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1] pubkeycol641 = [1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol642 = [0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol643 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0] pubkeycol644 = [1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1] pubkeycol645 = [1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol646 = [2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol647 = [0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol648 = [2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol649 = [1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol650 = [0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0] pubkeycol651 = [2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol652 = [2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol653 = [2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol654 = [0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol655 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0] pubkeycol656 = [0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol657 = [1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol658 = [2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol659 = [1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol660 = [0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol661 = [1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol662 = [0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol663 = [2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol664 = [2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2] pubkeycol665 = [1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol666 = [1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol667 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol668 = [2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol669 = [1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol670 = [2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol671 = [1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol672 = [1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2] pubkeycol673 = [1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol674 = [2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol675 = [1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1] pubkeycol676 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol677 = [2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol678 = [1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol679 = [0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol680 = [0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2] pubkeycol681 = [0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol682 = [0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol683 = [0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol684 = [2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol685 = [1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol686 = [1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol687 = [2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol688 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol689 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol690 = [0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol691 = [0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol692 = [2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0] pubkeycol693 = [0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2] pubkeycol694 = [1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol695 = [1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol696 = [1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol697 = [0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol698 = [1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol699 = [2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol700 = [2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1] pubkeycol701 = [0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol702 = [1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol703 = [1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2] pubkeycol704 = [2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2] pubkeycol705 = [2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol706 = [2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol707 = [2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0] pubkeycol708 = [2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol709 = [2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol710 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol711 = [0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol712 = [1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol713 = [0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol714 = [1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol715 = [2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol716 = [1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol717 = [0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol718 = [1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol719 = [2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2] pubkeycol720 = [0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol721 = [1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol722 = [0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol723 = [0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol724 = [2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol725 = [1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol726 = [1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1] pubkeycol727 = [2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol728 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0] pubkeycol729 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1] pubkeycol730 = [2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1] pubkeycol731 = [0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol732 = [1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol733 = [2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0] pubkeycol734 = [0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol735 = [2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0] pubkeycol736 = [1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol737 = [0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2] pubkeycol738 = [1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol739 = [1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol740 = [2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol741 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol742 = [0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2] pubkeycol743 = [0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol744 = [2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0] pubkeycol745 = [1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol746 = [1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol747 = [1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol748 = [2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1] pubkeycol749 = [0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol750 = [2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2] pubkeycol751 = [2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol752 = [2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol753 = [1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol754 = [1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol755 = [2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0] pubkeycol756 = [2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol757 = [0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol758 = [2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol759 = [2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol760 = [2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol761 = [1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol762 = [2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol763 = [1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1] pubkeycol764 = [2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol765 = [1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1] pubkeycol766 = [1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol767 = [2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol768 = [1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol769 = [1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol770 = [0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol771 = [2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol772 = [0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol773 = [2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2] pubkeycol774 = [1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2] pubkeycol775 = [0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0] pubkeycol776 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol777 = [2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1] pubkeycol778 = [2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0] pubkeycol779 = [0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol780 = [2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0] pubkeycol781 = [2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol782 = [1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol783 = [2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol784 = [2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol785 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2] pubkeycol786 = [0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol787 = [1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1] pubkeycol788 = [0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol789 = [1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol790 = [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol791 = [2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol792 = [1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol793 = [2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol794 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol795 = [2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol796 = [0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0] pubkeycol797 = [1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1] pubkeycol798 = [1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol799 = [0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol800 = [1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol801 = [1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol802 = [2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol803 = [0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol804 = [2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol805 = [1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol806 = [0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol807 = [2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol808 = [1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol809 = [1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol810 = [0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol811 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol812 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol813 = [0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol814 = [1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol815 = [1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol816 = [1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol817 = [2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol818 = [2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol819 = [1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1] pubkeycol820 = [1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1] pubkeycol821 = [0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol822 = [1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol823 = [2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol824 = [1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol825 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol826 = [1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0] pubkeycol827 = [2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol828 = [1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol829 = [1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0] pubkeycol830 = [0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol831 = [0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol832 = [0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol833 = [0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol834 = [0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol835 = [0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol836 = [0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol837 = [1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol838 = [1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol839 = [2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol840 = [0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1] pubkeycol841 = [1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol842 = [0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1] pubkeycol843 = [1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol844 = [2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol845 = [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol846 = [1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol847 = [0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol848 = [0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol849 = [2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol850 = [0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol851 = [0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol852 = [2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol853 = [0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol854 = [2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol855 = [2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1] pubkeycol856 = [2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol857 = [0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0] pubkeycol858 = [2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol859 = [1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol860 = [0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol861 = [0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1] pubkeycol862 = [0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol863 = [0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2] pubkeycol864 = [2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2] pubkeycol865 = [0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol866 = [2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol867 = [1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol868 = [0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol869 = [1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol870 = [2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol871 = [0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol872 = [2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol873 = [2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol874 = [1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol875 = [1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol876 = [2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol877 = [2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol878 = [1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol879 = [0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol880 = [0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol881 = [0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol882 = [2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol883 = [0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol884 = [0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol885 = [1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol886 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol887 = [2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol888 = [1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol889 = [0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol890 = [1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1] pubkeycol891 = [0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1] pubkeycol892 = [2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol893 = [2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol894 = [1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol895 = [0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol896 = [1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol897 = [1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol898 = [1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2] pubkeycol899 = [1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol900 = [1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol901 = [0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol902 = [0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol903 = [0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol904 = [2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol905 = [0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol906 = [2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol907 = [0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1] pubkeycol908 = [0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol909 = [0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol910 = [1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2] pubkeycol911 = [1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol912 = [2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol913 = [0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol914 = [1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0] pubkeycol915 = [2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol916 = [1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0] pubkeycol917 = [0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol918 = [0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol919 = [1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol920 = [1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2] pubkeycol921 = [2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol922 = [0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol923 = [2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1] pubkeycol924 = [2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol925 = [0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol926 = [0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol927 = [0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol928 = [1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol929 = [0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol930 = [0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol931 = [0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol932 = [2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol933 = [1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol934 = [0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol935 = [1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol936 = [1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1] pubkeycol937 = [2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol938 = [1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol939 = [1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol940 = [2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol941 = [0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2] pubkeycol942 = [0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol943 = [2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol944 = [2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol945 = [1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol946 = [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol947 = [2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1] pubkeycol948 = [0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol949 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol950 = [0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol951 = [1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2] pubkeycol952 = [2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol953 = [2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2] pubkeycol954 = [1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol955 = [2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol956 = [2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2] pubkeycol957 = [1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol958 = [0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol959 = [1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol960 = [0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0] pubkeycol961 = [2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0] pubkeycol962 = [1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol963 = [1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1] pubkeycol964 = [2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol965 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol966 = [1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol967 = [2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol968 = [1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol969 = [2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0] pubkeycol970 = [1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol971 = [1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol972 = [2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol973 = [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol974 = [0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol975 = [2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol976 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol977 = [0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2] pubkeycol978 = [1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol979 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol980 = [0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol981 = [2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2] pubkeycol982 = [1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1] pubkeycol983 = [2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol984 = [0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol985 = [1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol986 = [0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol987 = [0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol988 = [0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol989 = [0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2] pubkeycol990 = [1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol991 = [0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol992 = [0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2] pubkeycol993 = [1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0] pubkeycol994 = [1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol995 = [0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol996 = [1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol997 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol998 = [1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0] pubkeycol999 = [1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol1000 = [2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol1001 = [2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol1002 = [2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol1003 = [0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol1004 = [0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2] pubkeycol1005 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1] pubkeycol1006 = [2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol1007 = [2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1] pubkeycol1008 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2] pubkeycol1009 = [0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol1010 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol1011 = [2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0] pubkeycol1012 = [2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol1013 = [2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol1014 = [2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol1015 = [1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol1016 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol1017 = [2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol1018 = [0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2] pubkeycol1019 = [0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol1020 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol1021 = [0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol1022 = [1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol1023 = [2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol1024 = [2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2] pubkeycol1025 = [2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol1026 = [0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol1027 = [2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol1028 = [0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0] pubkeycol1029 = [2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol1030 = [2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2] pubkeycol1031 = [0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol1032 = [0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0] pubkeycol1033 = [1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol1034 = [0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2] pubkeycol1035 = [2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1] pubkeycol1036 = [1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol1037 = [0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol1038 = [0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol1039 = [2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol1040 = [0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0] pubkeycol1041 = [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1042 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol1043 = [2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol1044 = [2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol1045 = [2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0] pubkeycol1046 = [2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1] pubkeycol1047 = [1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol1048 = [2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol1049 = [0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol1050 = [1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol1051 = [1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol1052 = [2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2] pubkeycol1053 = [2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol1054 = [0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol1055 = [2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol1056 = [0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2] pubkeycol1057 = [1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol1058 = [0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol1059 = [2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0] pubkeycol1060 = [2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol1061 = [2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol1062 = [2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol1063 = [1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2] pubkeycol1064 = [1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol1065 = [1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol1066 = [0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol1067 = [2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol1068 = [1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0] pubkeycol1069 = [2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol1070 = [0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol1071 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol1072 = [1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol1073 = [0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol1074 = [2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol1075 = [0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0] pubkeycol1076 = [0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1] pubkeycol1077 = [2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol1078 = [0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol1079 = [0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1] pubkeycol1080 = [1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol1081 = [1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol1082 = [1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol1083 = [1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol1084 = [2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol1085 = [1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1086 = [1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol1087 = [0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol1088 = [2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol1089 = [2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol1090 = [2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1] pubkeycol1091 = [0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol1092 = [1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol1093 = [1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol1094 = [1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol1095 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol1096 = [0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol1097 = [1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol1098 = [2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol1099 = [0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol1100 = [0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol1101 = [0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol1102 = [0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol1103 = [2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol1104 = [0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol1105 = [1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol1106 = [0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol1107 = [0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol1108 = [0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol1109 = [1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol1110 = [2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2] pubkeycol1111 = [0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol1112 = [1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol1113 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol1114 = [1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol1115 = [0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol1116 = [1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0] pubkeycol1117 = [2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol1118 = [1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol1119 = [0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol1120 = [0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol1121 = [2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol1122 = [0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol1123 = [2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol1124 = [1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol1125 = [1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol1126 = [2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol1127 = [0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol1128 = [1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol1129 = [1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol1130 = [0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol1131 = [2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol1132 = [1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol1133 = [0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol1134 = [1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol1135 = [1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol1136 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol1137 = [0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol1138 = [1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol1139 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1] pubkeycol1140 = [0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol1141 = [0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol1142 = [2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol1143 = [0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2] pubkeycol1144 = [0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol1145 = [2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol1146 = [0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol1147 = [1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2] pubkeycol1148 = [1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol1149 = [0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol1150 = [2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0] pubkeycol1151 = [2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol1152 = [0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2] pubkeycol1153 = [2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol1154 = [1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol1155 = [1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol1156 = [1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol1157 = [0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol1158 = [1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol1159 = [1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol1160 = [1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol1161 = [0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol1162 = [0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol1163 = [1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol1164 = [0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol1165 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol1166 = [2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2] pubkeycol1167 = [1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol1168 = [0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol1169 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol1170 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol1171 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol1172 = [2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2] pubkeycol1173 = [1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1174 = [2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol1175 = [0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol1176 = [2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0] pubkeycol1177 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol1178 = [1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol1179 = [1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol1180 = [0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2] pubkeycol1181 = [1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1182 = [2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol1183 = [1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol1184 = [1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol1185 = [1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol1186 = [1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol1187 = [1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2] pubkeycol1188 = [0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol1189 = [2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol1190 = [2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0] pubkeycol1191 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol1192 = [2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol1193 = [0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol1194 = [0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol1195 = [1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol1196 = [1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol1197 = [0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol1198 = [2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol1199 = [1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol1200 = [2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1,